Reach for the Star

Simultaneous equations · Optional extension

L061 · Allow 10–15 minutes for learners ready to move on. Answers are available after an attempt.

Stretch

Solve 3x+2y=16 and x−2y=0.

Reveal a worked check after attempting

Add to get 4x=16, x=4; y=2.

Deep challenge

Can x+y=5 and 2x+2y=12 have a solution? Justify.

Reveal a worked check after attempting

No. Doubling the first gives 2x+2y=10, contradicting 12.

Recall & Review: feedback and extension integration

Lesson L061: Simultaneous equations

Objective: Solve simultaneous equations and interpret the solution as a common point.

60-minute structure: 0-7 Connect & Check; 7-14 Share; 14-25 Present/model; 25-44 Apply route choice/practice; 44-52 independent exam-style check; 52-60 Recall & Review, WWW/EBI and next step.

What Went Well (WWW)

I represented the algebraic structure accurately, kept each transformation valid and checked the result by substitution, graph or equivalent reasoning.

Even Better If (EBI)

I will show the missing inverse operation or algebraic step, keep signs and brackets accurate and test the result in the original relationship.

Stretch and deep challenge

Stretch: Solve 3x+2y=16 and x−2y=0.

Deep challenge: Can x+y=5 and 2x+2y=12 have a solution? Justify.